Mathematical Model for Omnidirectional Sensor Network Using Clifford Algebra

Abstract

Abstract Wireless Sensor Networks are now very important and more usable in industrial, agricultural, commercial and military applications. Studies on wireless sensor networks have several aspects such as location, deployment, tracking. The most critical parameter of studying wireless sensor networks is sensor nodes deployment to obtain optimum coverage for the network used to minimize energy and cost. The goal of this work is to introduce a new coverage proposal to calculate the required number of sensors for a wireless sensor network in order to achieve optimum coverage for a particular task region. The other proposals that were introduced before are mostly based on coverage of a unit disk in two dimensional space or a ball in three dimensional space. These proposals didn’t provide a coverage model for targets or objects in task region with hybrid types. So, this work introduces a new coverage model using Clifford algebra, which is coordinate-free and simple in calculations.